A particle system approach to cell-cell adhesion models
Probability
2016-01-21 v1 Analysis of PDEs
Abstract
We investigate micro-to-macroscopic derivations in two models of living cells, in presence to cell-cell adhesive interactions. We rigorously address two PDE-based models, one featuring non-local terms and another purely local, as a a result of a law of large numbers for stochastic particle systems, with moderate interactions in the sense of K. Oelshchlaeger (1985).
Keywords
Cite
@article{arxiv.1601.05241,
title = {A particle system approach to cell-cell adhesion models},
author = {Mikhail Neklyudov and Dario Trevisan},
journal= {arXiv preprint arXiv:1601.05241},
year = {2016}
}
Comments
22 pages